From backup childcare (it was Carole who looked after the kids during Will and Kate’s 2016 tour of India) to setting an example for her three children (Kate, 36, Pippa, 33, and James, 31), the former Carole Goldsmith —who once worked as a flight attendant before founding her wildly successful Party Pieces business with her husband, Michael Middleton — is her family’s rock.

Carole Middleton in July 2017

HGL/GC Images

“I don’t think anything fazes [Kate] — she just takes everything in her stride,” a family friend previously told PEOPLE. “A lot of this comes from her mum. Carole’s lovely, and she just doesn’t let anything faze her.”

After the baby’s birth, the palace released a statement on behalf of the royal family: “The Queen, The Duke of Edinburgh, The Prince of Wales, The Duchess of Cornwall, Prince Harry and members of both families have been informed and are delighted with the news.”

Prince Charles is expected to meet his grandson when he returns from France, where he is marking Anzac Day.

“We are both so pleased at the news,” Charles said in a statement. “It is a great joy to have another grandchild, the only trouble is I don’t know how I am going to keep up with them.”

The new baby, whose name has not yet been announced, also had some visitors before leaving the hospital: Big brother Prince George, 4, who was still donning his school uniform, and big sister Princess Charlotte, who turns 3 in May and adorably showed off her royal wave for the crowd of well-wishers.

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